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Finding the Fourth Proportional to 2,991.64, 4,484.52 and 1,431.20

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Solution

The fourth proportional to 2,991.64, 4,484.52 and 1,431.20 is: 2,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.64 : 4,484.52 = 1,431.20 : x
  2. Step 2: Convert to fraction form
    2,991.64/4,484.52 = 1,431.20/x
  3. Step 3: Cross multiply
    2,991.64x = 4,484.52 × 1,431.20
  4. Step 4: Simplify right side
    2,991.64x = 6,418,245.02
  5. Step 5: Solve for x
    x = 6,418,245.02/2,991.64
  6. Step 6: Final answer
    x = 2,145.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.